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Simplifying x(x + 11) + -18(x + 11) = 0 Reorder the terms: x(11 + x) + -18(x + 11) = 0 (11 * x + x * x) + -18(x + 11) = 0 (11x + x2) + -18(x + 11) = 0 Reorder the terms: 11x + x2 + -18(11 + x) = 0 11x + x2 + (11 * -18 + x * -18) = 0 11x + x2 + (-198 + -18x) = 0 Reorder the terms: -198 + 11x + -18x + x2 = 0 Combine like terms: 11x + -18x = -7x -198 + -7x + x2 = 0 Solving -198 + -7x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-11 + -1x)(18 + -1x) = 0Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve: Simplifying -11 + -1x = 0 Solving -11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 0 + 11 -1x = 0 + 11 Combine like terms: 0 + 11 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18Solution
x = {-11, 18}
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